Master Maxwell Equations & Em Waves with hands-on challenges and interactive lessons.
Understanding the basic concepts of electromagnetism, including electric and magnetic fields, and their interactions.
Learning about electric fields, electric flux, and Gauss's Law, and applying these concepts to solve problems.
Exploring magnetic fields, magnetic flux, and Ampere's Law, and using these concepts to solve problems.
Understanding Faraday's Law of Induction, magnetic flux, and induced electromotive force, and applying these concepts to solve problems.
Introducing Maxwell's Equations, including Gauss's Law for Electricity, Gauss's Law for Magnetism, Faraday's Law of Induction, and Ampere's Law with Maxwell's Correction.
Exploring the concept of displacement current and its role in Maxwell's Equations, and solving problems using these equations.
Introducing the concept of electromagnetic waves, including their propagation, velocity, and polarization.
Deriving the wave equation from Maxwell's Equations and solving it to find the general solution for electromagnetic waves.
Understanding plane waves, boundary conditions, and reflection and refraction of electromagnetic waves at interfaces.
Exploring the polarization of electromagnetic waves, Malus's Law, and the Brewster angle.
Understanding the energy carried by electromagnetic waves, the Poynting vector, and energy conservation in electromagnetic fields.
Exploring the radiation of electromagnetic waves, antennas, and radiation patterns.
Understanding waveguides, cavity resonators, and their applications in various devices and systems.
Exploring the electromagnetic radiation spectrum, including radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays.
Understanding the scattering and diffraction of electromagnetic waves, and their applications in various fields.
Exploring the relationship between special relativity and electromagnetism, including the transformation of electric and magnetic fields.
Understanding retarded potentials, radiation fields, and the Lienard-Wiechert potentials.
Exploring the multipole expansion of electromagnetic fields, radiation patterns, and the far-field approximation.
Understanding the propagation of electromagnetic waves in matter, including absorption, dispersion, and the complex refractive index.
Exploring the interaction of electromagnetic waves with plasmas, including wave propagation, dispersion, and absorption.
Understanding the quantum theory of electromagnetic waves, including the quantization of the electromagnetic field and the photon.
Exploring the applications of electromagnetic waves in optics, including interference, diffraction, and polarization.
Understanding the role of electromagnetic waves in communication systems, including antennas, propagation, and modulation.
Exploring the applications of electromagnetic waves in medical imaging, including MRI, CT, and X-ray imaging.
Understanding the role of electromagnetic waves in astrophysics, including the study of stars, galaxies, and the early universe.
